Module factorizations

Abstract For a regular normal element in an arbitrary ring, we study the category of its module factorizations. The cokernel functor relates module factorizations with Gorenstein projective components to Gorenstein projective modules over the quotient ring. The results are vast extensions of Eisenbud’s matrix factorization theorem.

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Publication Details

Journal
Forum Mathematicum
Published
2026-06-30
DOI
https://doi.org/10.1515/forum-2025-0382
Primary Topic
Algebraic structures and combinatorial models
Type
article
Field-Weighted Citation Impact
0.00

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article

Module factorizations

Xiao-Wu Chen
Forum Mathematicum
Algebraic structures and combinatorial models
article

Module factorizations

Xiao-Wu Chen
article en

Abstract

Abstract For a regular normal element in an arbitrary ring, we study the category of its module factorizations. The cokernel functor relates module factorizations with Gorenstein projective components to Gorenstein projective modules over the quotient ring. The results are vast extensions of Eisenbud’s matrix factorization theorem.

Forum Mathematicum
University of Science and Technology of China (CN)
National Natural Science Foundation of China, National Key Research and Development Program of China
Openalex Percentile: Top 4%
Algebraic structures and combinatorial models
DOIOpen Access PDFOpenAlex
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